{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from matplotlib import cm\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gaussian Process Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class GP:\n",
    "    def __init__(self, num_x_samples):\n",
    "        self.observations = {\"x\": list(), \"y\": list()}\n",
    "        self.num_x_samples = num_x_samples\n",
    "        self.x_samples = np.arange(0, 10.0, 10.0 / self.num_x_samples).reshape(-1, 1)\n",
    "        \n",
    "        # prior\n",
    "        self.mu = np.zeros_like(self.x_samples)\n",
    "        self.cov = self.kernel(self.x_samples, self.x_samples)\n",
    "        \n",
    "    def update(self, observations):\n",
    "        self.update_observation(observations)\n",
    "        \n",
    "        x = np.array(self.observations[\"x\"]).reshape(-1, 1)\n",
    "        y = np.array(self.observations[\"y\"]).reshape(-1, 1)\n",
    "        \n",
    "        K11 = self.cov  # (N,N)\n",
    "        K22 = self.kernel(x, x) # (k,k)\n",
    "        K12 = self.kernel(self.x_samples, x)  # (N,k)\n",
    "        K21 = self.kernel(x, self.x_samples)  # (k,N)\n",
    "        K22_inv = np.linalg.inv(K22 + 1e-8 * np.eye(len(x)))  # (k,k)\n",
    "        \n",
    "        self.mu = K12.dot(K22_inv).dot(y)\n",
    "        self.cov = self.kernel(self.x_samples, self.x_samples) - K12.dot(K22_inv).dot(K21)\n",
    "        \n",
    "    def visualize(self, num_gp_samples=3):\n",
    "        gp_samples = np.random.multivariate_normal(\n",
    "            mean=self.mu.ravel(), \n",
    "            cov=self.cov, \n",
    "            size=num_gp_samples)\n",
    "        x_sample = self.x_samples.ravel()\n",
    "        mu = self.mu.ravel()\n",
    "        uncertainty = 1.96 * np.sqrt(np.diag(self.cov))\n",
    "\n",
    "        plt.figure()\n",
    "        plt.fill_between(x_sample, mu + uncertainty, mu - uncertainty, alpha=0.1)\n",
    "        plt.plot(x_sample, mu, label='Mean')\n",
    "        for i, gp_sample in enumerate(gp_samples):\n",
    "            plt.plot(x_sample, gp_sample, lw=1, ls='--', label=f'Sample {i+1}')\n",
    "            \n",
    "        plt.plot(self.observations[\"x\"], self.observations[\"y\"], 'rx')\n",
    "        plt.legend()\n",
    "        plt.grid()\n",
    "\n",
    "    def update_observation(self, observations):\n",
    "        for x, y in zip(observations[\"x\"], observations[\"y\"]):\n",
    "            if x not in self.observations[\"x\"]:\n",
    "                self.observations[\"x\"].append(x)\n",
    "                self.observations[\"y\"].append(y)\n",
    "                \n",
    "    @staticmethod\n",
    "    def kernel(x1, x2, l=0.5, sigma_f=0.2):\n",
    "        dist_matrix = np.sum(x1**2, 1).reshape(-1, 1) + np.sum(x2**2, 1) - 2 * np.dot(x1, x2.T)\n",
    "        return sigma_f ** 2 * np.exp(-0.5 / l ** 2 * dist_matrix)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def y(x):\n",
    "    x = np.asarray(x)\n",
    "    return np.cos(x).tolist() \n",
    "\n",
    "gp = GP(num_x_samples=100)\n",
    "gp.visualize()\n",
    "\n",
    "# for _ in range(5):\n",
    "#     obs_x = np.random.uniform(0, 10, size=2).tolist()\n",
    "#     gp.update({\"x\": obs_x, \"y\": y(obs_x)})\n",
    "#     gp.visualize()\n",
    "\n",
    "obs_x = [1, 2, 3, 4, 6, 7, 8, 9]\n",
    "gp.update({\"x\": obs_x, \"y\": y(obs_x)})\n",
    "gp.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gaussian Process Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import minimize\n",
    "\n",
    "\n",
    "class GPR:\n",
    "    \n",
    "    def __init__(self, optimize=True):\n",
    "        self.is_fit = False\n",
    "        self.train_X, self.train_y = None, None\n",
    "        self.params = {\"l\": 0.5, \"sigma_f\": 0.2}\n",
    "        self.optimize = optimize\n",
    "       \n",
    "    def fit(self, X, y):\n",
    "        # store train data\n",
    "        self.train_X = np.asarray(X)\n",
    "        self.train_y = np.asarray(y)\n",
    "        \n",
    "         # hyper parameters optimization\n",
    "        def negative_log_likelihood_loss(params):\n",
    "            self.params[\"l\"], self.params[\"sigma_f\"] = params[0], params[1]\n",
    "            Kyy = self.kernel(self.train_X, self.train_X) + 1e-8 * np.eye(len(self.train_X))\n",
    "            return 0.5 * self.train_y.T.dot(np.linalg.inv(Kyy)).dot(self.train_y) + 0.5 * np.linalg.slogdet(Kyy)[1] + 0.5 * len(self.train_X) * np.log(2 * np.pi)\n",
    "                \n",
    "        if self.optimize:\n",
    "            res = minimize(negative_log_likelihood_loss, [self.params[\"l\"], self.params[\"sigma_f\"]], \n",
    "                   bounds=((1e-4, 1e4), (1e-4, 1e4)),\n",
    "                   method='L-BFGS-B')\n",
    "            self.params[\"l\"], self.params[\"sigma_f\"] = res.x[0], res.x[1]\n",
    "        \n",
    "        self.is_fit = True\n",
    "    \n",
    "    def predict(self, X):\n",
    "        if not self.is_fit:\n",
    "            print(\"GPR Model not fit yet.\")\n",
    "            return\n",
    "        \n",
    "        X = np.asarray(X)\n",
    "        Kff = self.kernel(self.train_X, self.train_X)  # (N, N)\n",
    "        Kyy = self.kernel(X, X)  # (k, k)\n",
    "        Kfy = self.kernel(self.train_X, X)  # (N, k)\n",
    "        Kff_inv = np.linalg.inv(Kff + 1e-8 * np.eye(len(self.train_X)))  # (N, N)\n",
    "        \n",
    "        mu = Kfy.T.dot(Kff_inv).dot(self.train_y)\n",
    "        cov = Kyy - Kfy.T.dot(Kff_inv).dot(Kfy)\n",
    "        return mu, cov\n",
    "\n",
    "    def kernel(self, x1, x2):\n",
    "        dist_matrix = np.sum(x1**2, 1).reshape(-1, 1) + np.sum(x2**2, 1) - 2 * np.dot(x1, x2.T)\n",
    "        return self.params[\"sigma_f\"] ** 2 * np.exp(-0.5 / self.params[\"l\"] ** 2 * dist_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11e120cc0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def y(x, noise_sigma=0.0):\n",
    "    x = np.asarray(x)\n",
    "    y = np.cos(x) + np.random.normal(0, noise_sigma, size=x.shape) \n",
    "    return y.tolist() \n",
    "\n",
    "train_X = np.array([3, 1, 4, 5, 9]).reshape(-1, 1)\n",
    "train_y = y(train_X, noise_sigma=0.1)\n",
    "test_X = np.arange(0, 10, 0.1).reshape(-1, 1)\n",
    "\n",
    "gpr = GPR(optimize=True)\n",
    "gpr.fit(train_X, train_y)\n",
    "mu, cov = gpr.predict(test_X)\n",
    "test_y = mu.ravel()\n",
    "uncertainty = 1.96 * np.sqrt(np.diag(cov))\n",
    "plt.figure()\n",
    "plt.title(\"l=%.2f sigma_f=%.2f\" % (gpr.params[\"l\"], gpr.params[\"sigma_f\"]))\n",
    "plt.fill_between(test_X.ravel(), test_y + uncertainty, test_y - uncertainty, alpha=0.1)\n",
    "plt.plot(test_X, test_y, label=\"predict\")\n",
    "plt.scatter(train_X, train_y, label=\"train\", c=\"red\", marker=\"x\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compare to sciki-learn "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11ded2fd0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.gaussian_process import GaussianProcessRegressor\n",
    "from sklearn.gaussian_process.kernels import ConstantKernel, RBF\n",
    "\n",
    "kernel = ConstantKernel(constant_value=0.2, constant_value_bounds=(1e-4, 1e4)) * RBF(length_scale=0.5, length_scale_bounds=(1e-4, 1e4))\n",
    "gpr = GaussianProcessRegressor(kernel=kernel)\n",
    "gpr.fit(train_X, train_y)\n",
    "mu, cov = gpr.predict(test_X, return_cov=True)\n",
    "test_y = mu.ravel()\n",
    "uncertainty = 1.96 * np.sqrt(np.diag(cov))\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"l=%.2f sigma_f=%.2f\" % (gpr.kernel_.k2.length_scale, gpr.kernel_.k1.constant_value))\n",
    "plt.fill_between(test_X.ravel(), test_y + uncertainty, test_y - uncertainty, alpha=0.1)\n",
    "plt.plot(test_X, test_y, label=\"predict\")\n",
    "plt.scatter(train_X, train_y, label=\"train\", c=\"red\", marker=\"x\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multi-dimensional GPR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0.92, 'with optimization l=0.50 sigma_f=0.20')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def y_2d(x, noise_sigma=0.0):\n",
    "    x = np.asarray(x)\n",
    "    y = np.sin(0.5 * np.linalg.norm(x, axis=1)) \n",
    "    y += np.random.normal(0, noise_sigma, size=y.shape)\n",
    "    return y\n",
    "    \n",
    "train_X = np.random.uniform(-4, 4, (100, 2)).tolist()\n",
    "train_y = y_2d(train_X, noise_sigma=1e-4)\n",
    "\n",
    "test_d1 = np.arange(-5, 5, 0.2)\n",
    "test_d2 = np.arange(-5, 5, 0.2)\n",
    "test_d1, test_d2 = np.meshgrid(test_d1, test_d2)\n",
    "test_X = [[d1, d2] for d1, d2 in zip(test_d1.ravel(), test_d2.ravel())]\n",
    "\n",
    "gpr = GPR(optimize=False)\n",
    "gpr.fit(train_X, train_y)\n",
    "mu, cov = gpr.predict(test_X)\n",
    "z = mu.reshape(test_d1.shape)\n",
    "\n",
    "fig = plt.figure(figsize=(7, 5))\n",
    "ax = Axes3D(fig)\n",
    "ax.plot_surface(test_d1, test_d2, z, cmap=cm.coolwarm, linewidth=0, alpha=0.2, antialiased=False)\n",
    "ax.scatter(np.asarray(train_X)[:,0], np.asarray(train_X)[:,1], train_y, c=train_y, cmap=cm.coolwarm)\n",
    "ax.contourf(test_d1, test_d2, z, zdir='z', offset=0, cmap=cm.coolwarm, alpha=0.6)\n",
    "ax.set_title(\"with optimization l=%.2f sigma_f=%.2f\" % (gpr.params[\"l\"], gpr.params[\"sigma_f\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
